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The paper discusses the application of three well known diffusion models and their modified versions to the growth of publication data in four selected fields of S&T. It is observed that all the three models in their modified versions generally improve their performance in terms of parameter values, fit statistics, and graphical fit to the data. The most appropriate model is generally seen to be the modified exponential-logistic model. Growth of knowledgeThe understanding of the process of growth of knowledge in research specialities and its modelling has challenged bibiiometricians and sociologists for long. Over the years, some literature has appeared in this area. Gilbert 1 has reviewed the existing literature on the indicators of growth of knowledge in scientific specialities and lists many ways of measuring it, noting their strengths and limitations and commenting on their use.There are two approaches that have normally been considered in understanding knowledge growth: Qualitative and quantitative. Qualitative approach suggests structural or descriptive models of knowledge growth, while descriptive models use social phenomenon to explain diffusion and creation of knowledge. Quantitative approach is a more recent phenomenon, and have relied on summarisation statistics to .describe observed behaviour, while others apply growth and technology diffusion models and bibliometric/scientometric techniques.The growth of scientific knowledge generally takes the form of logistic curve. The successive phases of knowledge growth represented by logistic growth curve are: (a) a

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Traces the growth of collaborated and funded research as reflected in research papers in theoretical population genetics research speciality from 1916 80 through a case study. Analyses the proportion and extent of collaborated papers, averge number of authorship per paper, and collaborative coefficient index of research papers thereby giving an overall perspective of the growth of professionaiism in the field. Studies the relation between co/iaboration, productivity, and funding of research papers in theoretical population genetics. Classifies the total collaborative papers/authors by type of collaboration and studies the trends and shifts in the nature and type of collaborative research over the years.